Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places

Özbudak, Ferruh
We give existence and characterization results for some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places simultaneously.


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We formulate the Nahm transform in the context of parabolic Higgs bundles on P-1 and extend its scope in completely algebraic terms. This transform requires parabolic Higgs bundles to satisfy an admissibility condition and allows Higgs fields to have poles of arbitrary order and arbitrary behavior. Our methods are constructive in nature and examples are provided. The extended Nahm transform is established as an algebraic duality between moduli spaces of parabolic Higgs bundles. The guiding principle behind ...
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Özbudak, Ferruh (2016-11-01)
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Alpay, D; Kaptanoglu, HT (2000-12-15)
Beurling's theorem characterizes subspaces of the Hardy space invariant under the forward-shift operator in terms of inner functions. In this Note we consider the case where the ball replaces the open unit desk and the reproducing kernel Hilbert space with reproducing kernel 1/(1-Sigma (N)(1) a(j)w(j)*) replaces the Hardy space. We give explicit formulas which generalize Blaschke products in the case of spaces of finite codimension. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier...
Citation Formats
E. ÇAKÇAK and F. Özbudak, “Some Artin-Schreier type function fields over finite fields with prescribed genus and number of rational places,” JOURNAL OF PURE AND APPLIED ALGEBRA, pp. 113–135, 2007, Accessed: 00, 2020. [Online]. Available: